Answer:8/1
Step-by-step explanation:
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 8.000 and for x=2.000, the value of y is 4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.000 - 8.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Answer: they will meet after 3 hours.
Step-by-step explanation:
Let t represent the number of hours it will take them to meet.
A walker and a cyclist are 45 miles apart. If they move towards each other, in t hours, they would have covered a total of 45 miles
Distance = speed × time
They move towards each other with speeds of 5 mph and 10 mph respectively. It means that the distance covered by the walker in t hours is 5 × t = 5t
Also, the distance covered by the cyclist in t hours is 10 × t = 10t
Since the total distance covered us 45 miles, then
5t + 10t = 45
15t = 45
t = 45/15
t = 3 hours
Answer: 33.3%
s Step-by-step explanation: The combined arc length of the red area is 120, which is 1/3 of 360, the full arc. So the probability is 1/3, or 33.3%. Hope this helps!
Answer:
Step-by-step explanation:
a.
The angles given are 62° and 90°.
We know sum of angles in any triangle is 180° so the third angle must be 180-90-62 = 28°
We can find the sides if we know trigonometric functions
sin28° = opp. side/ hypothenuse = CA/BA = 8/BA
BA = 8/sin 28° ≈ 17
tan62°= opp.side/adj.side= BC/AC = BC/8
BC = 8 · tan62° ≈ 15
b.
We are given 2 sides 8.5 and 6.5 and that one angle is right, so the triangle is a right triangle, therefore we can apply Pythagorean Theorem to find the third side.
6.5² +FD² = 8.5², subtract 6.5² from both sides
FD² = 8.5²- 6.5², square and combine like terms
FD² = 30, square-root both sides
FD = √30
FD ≈ 5.47722, round to the nearest tenth
FD ≈ 5.5
We can find the angles if we know trigonometric functions.
sin ∡D = FE/DE = 6.5/8.5
∡D = sin^-1 (6.5/8.5)
∡D ≈ 49.9°
cos ∡E = FE/DE = 6.5/8.5
∡E = cos^-1 (6.5/8.5)
∡E ≈ 40.1°
There could be 42,483,000 potential page fans that John could have excluding his direct fans.
Solution:
1 fan = 17,000 x 15% = 2,550
2,550 x 17000 direct fans = 42,500,000
42,500,000 - 17000 direct fans = 42,483,000
